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If x=2+√3, then find the value of x⁴-4x³+x²+x+1​

Math Secondary School in Math 1 year ago

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VALUE of x⁴ - 4x³ + x² + X - √3 = 2IT is given that, x = 2 + √3⇒(x - 2) = √3squaring both sides we get,⇒(x - 2)² = (√3)²⇒x² - 4x + 4 = 3⇒x² - 4x + 1 = 0.......(1)we have to find value of x⁴ - 4x³ + x² + x - √3= x²(x² - 4x + 1) + x - √3from equation (1) we get,= x² × 0 + x - √3= 0 + (2 + √3 ) - √3= 2hence, x⁴ - 4x³ + x² + x - √3 = 2Step-by-step explanation:please mark me as brainliest ☺️.
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Posted on 18 Sep 2024, this text provides information on Math related to Secondary School in Math. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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